Tuesday, August 6, 2013

1308.0602 (Stephen M. Feeney et al.)

Sparse Inpainting and Isotropy    [PDF]

Stephen M. Feeney, Domenico Marinucci, Jason D. McEwen, Hiranya V. Peiris, Benjamin D. Wandelt, Valentina Cammarota
Sparse inpainting techniques are gaining in popularity as a tool for cosmological data analysis, in particular for handling data which present masked regions and missing observations. We investigate here the relationship between inpainting techniques and the isotropy properties of cosmological maps, as for instance those arising from cosmic microwave background (CMB) experiments. In particular, we investigate the possibility that inpainted maps may exhibit anisotropies in the behaviour of higher-order angular polyspectra. We provide analytic computations and simulations of inpainted maps for a Gaussian isotropic model of CMB data, suggesting that the resulting angular trispectrum may exhibit small but non-negligible deviations from isotropy.
View original: http://arxiv.org/abs/1308.0602

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